Prime p₀= 128515407209261309 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 130 2 28 2 46 2 10 2 (?)
a_n: 0 2 18 20 150 152 180 182 228 230 240 242
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 242
Found by: amazing
db: batch=67, k=12, 16 130 28 46 10

SPT(14)	128515367041358503	0 24 30 48 108 118 136 138 156 166 226 244 250 274	-40167902806
SPT(14)	128515372800947291	0 20 38 56 66 68 80 108 120 122 132 150 168 188	-34408314018
SPT(14)	128515382041602319	0 60 78 88 108 114 130 168 184 190 210 220 238 298	-25167658990
SPT(14)	128515387301652667	0 12 40 114 150 172 180 184 192 214 250 324 352 364	-19907608642
SPT(14)	128515402493972843	0 6 56 66 90 104 110 144 150 164 188 198 248 254	-4715288466
SPT(14)	128515405795114159	0 22 24 40 64 82 150 154 222 240 264 280 282 304	-1414147150
SPT(14)	128515420031790907	0 64 76 82 96 100 126 190 216 220 234 240 252 316	12822529598
SPT(14)	128515420923889511	0 72 80 98 102 140 152 198 210 248 252 270 278 350	13714628202
STPT(10)	128515447780130009	0 2 18 20 30 32 42 44 60 62	40570868700
SPT(14)	128515453145070767	0 20 42 114 116 122 144 152 174 180 182 254 276 296	45935809458
SPT(14)	128515481100915113	0 38 50 66 80 98 104 150 156 174 188 204 216 254	73891653804